Remove chicken, reserving for another use, then strain consommé through fine-mesh sieve into large bowl, discarding solids. If using consommé right away, skim off and discard any fat. If making ahead, cool consommé completely, uncovered, then chill, covered, and discard any solidified fat. (Consommé can be chilled up to 3 days or frozen 1 month.) Rewarm consommé before serving by bringing to gentle simmer in large pot over moderately high heat.)